Riemann-Roch Theorems via deformation quanitzation I
Algebraic Geometry
2007-05-23 v1
Abstract
We deduce the Riemann-Roch type formula expressing the microlocal Euler class of a perfect complex of D-modules in terms of the Chern character of the associated symbol complex and the Todd class of the manifold from the Riemann-Roch type theorem for periodic cyclic cocycles of a symplectic deformation quantization. The proof of the latter is contained in the sequel to this paper.
Cite
@article{arxiv.math/9904121,
title = {Riemann-Roch Theorems via deformation quanitzation I},
author = {P. Bressler and R. Nest and B. Tsygan},
journal= {arXiv preprint arXiv:math/9904121},
year = {2007}
}